Not Distributive Lattice Over Residues Modulo ๐ยฒ
T. Srinivasa Rao, Neeraj Kumar ยท Zenodo (CERN European Organization for Nuclear Research) ยท 2026
Abstract: The set of matrices formed by taking entries from [1] the residues modulo ๐ยฒ, and considering this set of matrices ๐ as and defining the join and meet on ๐ to verify that is a lattice and continuing with the same operations, it can be shown that the lattice is not distributive. To supplement this result, a table that verifies the failure of distributive property is shown. Key Words: addition modulo ๐ยฒ , multiplication modulo ๐ยฒ, disjunction residue modulo ๐ยฒ, conjunction residue modulo ๐ยฒ